{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "view-in-github"
   },
   "source": [
    "<a href=\"https://colab.research.google.com/github/jermwatt/machine_learning_refined/blob/main/notes/3_First_order_methods/A_7_General_steepest_descent.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "qQEyBRbhNnTp"
   },
   "source": [
    "## Appendix A. Advanced First- and Second-Order Optimization Methods"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook contains interactive content from an early draft of the university textbook <a href=\"https://github.com/neonwatty/machine-learning-refined/tree/main\">\n",
    "Machine Learning Refined (2nd edition) </a>.\n",
    "\n",
    "The final draft significantly expands on this content and is available for <a href=\"https://github.com/neonwatty/machine-learning-refined/tree/main/chapter_pdfs\"> download as a PDF here</a>."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VW0_7OKxNnTq"
   },
   "source": [
    "# A.7 General steepest descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "VGhAZ0lwNnTq"
   },
   "source": [
    "In this post we describe several variations of normalized gradient descent, known generally as *steepest descent* algorithms. These variations arise out of a small but fundamental change to the gradient descent setup, a change that has significant impact on the form of a descent direction but importantly, not on the convergence of the methods (steepest descent methods converge under the same general condition as gradient descent, i.e., that the length of the steps eventually diminishes)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "RuZyQ_loNnTr",
    "outputId": "b663057b-8082-4379-8ca8-f54a07d5f5e4"
   },
   "outputs": [],
   "source": [
    "# import standard libs\n",
    "import os\n",
    "\n",
    "# if on collab pull required subdirectories\n",
    "if os.getenv(\"COLAB_RELEASE_TAG\"): \n",
    "    # install github clone - allows for easy cloning of subdirectories\n",
    "    !pip install github-clone\n",
    "    from pathlib import Path \n",
    "\n",
    "    # clone library subdirectory\n",
    "    if not Path('chapter_3_library').is_dir():\n",
    "        !ghclone https://github.com/neonwatty/machine-learning-refined-notes-assets/tree/main/notes/3_First_order_methods/chapter_3_library\n",
    "    else:\n",
    "        print('chapter_3_library already cloned!')\n",
    "\n",
    "    # clone videos\n",
    "    if not Path('chapter_3_videos').is_dir():\n",
    "        !ghclone https://github.com/neonwatty/machine-learning-refined-notes-assets/tree/main/notes/3_First_order_methods/chapter_3_videos\n",
    "    else:\n",
    "        print('chapter_3_videos already cloned!')\n",
    "\n",
    "# append path for local library, data, and image import\n",
    "import sys\n",
    "sys.path.append('./chapter_3_library')\n",
    "sys.path.append('./chapter_3_videos') \n",
    "\n",
    "# import section helper\n",
    "import section_3_13_helpers\n",
    "\n",
    "# video paths\n",
    "video_path_1 = 'chapter_3_videos/animation_15.mp4'\n",
    "video_path_2 = 'chapter_3_videos/animation_16.mp4'\n",
    "\n",
    "# standard imports\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import Image, HTML\n",
    "from base64 import b64encode\n",
    "\n",
    "def show_video(video_path, width = 1000):\n",
    "    video_file = open(video_path, \"r+b\").read()\n",
    "    video_url = f\"data:video/mp4;base64,{b64encode(video_file).decode()}\"\n",
    "    return HTML(f\"\"\"<video width={width} controls><source src=\"{video_url}\"></video>\"\"\")\n",
    "\n",
    "# import autograd-wrapped numpy\n",
    "import autograd.numpy as np\n",
    "\n",
    "# this is needed to compensate for matplotlib notebook's tendancy to blow up images when plotted inline\n",
    "%matplotlib inline\n",
    "from matplotlib import rcParams\n",
    "rcParams['figure.autolayout'] = True\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "HmDacc__NnTs"
   },
   "source": [
    "## Generalized Steepest descent"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "iWrliDhSNnTs"
   },
   "source": [
    "When we first discussed gradient descent the descent direction given by the negative gradient fell out naturally from a geometric understanding of hyperplanes. Here we begin our discussion of steepest descent algorithms by re-visiting gradient descent and deriving the descent direction using a more rigorous mathematical framework. This framework immediately suggests a way to generalize the gradient descent algorithm under different *norms*, which we then explore."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "oP4AipoLNnTs"
   },
   "source": [
    "### Steepest descent direction in the $\\ell_2$ norm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fwh-R9KkNnTs"
   },
   "source": [
    "When first deriving the gradient descent direction of a multi-input function $g(\\mathbf{w})$ at a point $\\mathbf{v}$ we began by examining the tangent hyperplane to $g$ at this point\n",
    "\n",
    "\\begin{equation}\n",
    "h\\left(\\mathbf{w}\\right)=g\\left(\\mathbf{v}\\right)+\\nabla g\\left(\\mathbf{v}\\right)^{T}\\left(\\mathbf{w}-\\mathbf{v}\\right)\n",
    "\\end{equation}\n",
    "\n",
    "We then reasoned out that since in general we know that the *ascent* direction on a hyperplane is given by its set of 'slopes' - stored in $\\nabla g(\\mathbf{v})$ -  that intuitively therefore the descent direction is given by the negative gradient as $-\\nabla g(\\mathbf{v})$, or normalized to unit length as $-\\frac{\\nabla g(\\mathbf{v})}{\\left\\Vert \\nabla g(\\mathbf{v}) \\right\\Vert_2 }$.  We often used the latter unit-normalized version since after all we care only about the descent *direction*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "i-yOFSVqNnTt"
   },
   "source": [
    "This descent direction can be derived more formally as follows.  Note that $\\mathbf{d} = \\mathbf{w} - \\mathbf{v}$ is a general search direction centered at the point $\\mathbf{v}$.  We want to find the unit-length direction $\\mathbf{d}$ that provides the smallest evaluation on the hyperplane, i.e., the one that gives the smallest value $g(\\mathbf{v}) + \\nabla g(\\mathbf{v})^T(\\mathbf{w} - \\mathbf{v}) = g(\\mathbf{v}) + \\nabla g(\\mathbf{v})^T\\mathbf{d}$.  Since $\\mathbf{d}$ is only present in the second term we only need care about finding the unit length direction $\\mathbf{d}$ so that $\\nabla g(\\mathbf{v})^T\\mathbf{d}$ is as small as possible (after all, $g(\\mathbf{v})$ is constant).\n",
    "\n",
    "Formally this is a simple constrained minimization problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "dPDs7-RQNnTt"
   },
   "source": [
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{\\mathbf{d}}{\\text{minimize}} & \\nabla g(\\mathbf{v})^{T}\\mathbf{d}\\\\\n",
    "\\text{subject to} & \\left\\Vert \\mathbf{d}\\right\\Vert _{2}=1\\\\\n",
    "\\end{array}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "5DLbJdqnNnTt"
   },
   "source": [
    "Using the toy in the next Python cell we explore possible solutions to this problem in two dimensions for a particular choice of gradient vector, gaining valuable geometric intuition as to what the solution should be.  There we plot an example gradient vector $\\nabla g (\\mathbf{v})$ as a red arrow, along with the $\\ell_2$ unit ball. Moving the slider from left to right you can test various directions $\\mathbf{d}$ (each shown as a black arrow) on this $\\ell_2$ unit ball computing the inner product $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$, whose value is simultaneously plotted in the right panel.  As you move the slider right the direction providing the *smallest* value is shown as a green arrow in the left panel, and is highlighted in green in the plot in the right panel.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 531
    },
    "id": "Oi66LcaXNnTu",
    "outputId": "ce326f1b-7ccf-4138-9bcb-e8fb99bdfd26"
   },
   "outputs": [],
   "source": [
    "# # create an animation showing the origin of the sine and cosine functions - uncomment to re-render animation\n",
    "# num_frames = 200\n",
    "# pt = [1.3,0.75]\n",
    "# section_3_13_helpers.L2(pt,num_frames,savepath=video_path_1,fps=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 521
    },
    "id": "qBdNLLStNxLy",
    "outputId": "f4eabded-fca2-4a12-ba0a-d17c4757ddf7"
   },
   "outputs": [
    {
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show_video(video_path_1, width=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "me2wmGU9NnTv"
   },
   "source": [
    "As can be seen it appears as if indeed $\\mathbf{d} = -\\frac{\\nabla g(\\mathbf{v})}{\\left\\Vert \\nabla g(\\mathbf{v}) \\right\\Vert_2 }$ is the direction producing the smallest inner product."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "mQ45DbtdNnTv"
   },
   "source": [
    "To prove this formally we can use the *inner product rule* which tells us almost immediately what the solution to this problem is. According to the inner product rule $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$ can be written as \n",
    "\n",
    "$$\\nabla g(\\mathbf{v})^{T}\\mathbf{d} = \\left \\Vert \\nabla g(\\mathbf{v}) \\right \\Vert_2 \\left \\Vert \\mathbf{d} \\right \\Vert_2 \\text{cos}(\\theta)$$ \n",
    "\n",
    "where $\\theta$ is the angle between $\\nabla g(\\mathbf{v})$ and $\\mathbf{d}$.\n",
    "\n",
    "Noting that both $\\left \\Vert \\nabla g(\\mathbf{v}) \\right \\Vert_2$ and $\\left \\Vert \\mathbf{d} \\right \\Vert_2$ have constant values (the former is the length of the gradient at $\\mathbf{v}$, and latter is just $1$), the value of $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$ is smallest when $\\text{cos}(\\theta)$ is smallest, i.e., when $\\theta = \\pi$. In other words, $\\mathbf{d}$ must point in the same direction as $-\\nabla g(\\mathbf{v})$, and also be unit length. Thus we have $\\mathbf{d} = -\\frac{\\nabla g(\\mathbf{v})}{\\left \\Vert \\nabla g(\\mathbf{v}) \\right \\Vert_2}$, that is indeed the normalized gradient descent direction. In deriving the gradient descent direction in this way, $\\mathbf{d}$ is referred to more generally as the *steepest descent direction*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "__Nv99boNnTv"
   },
   "source": [
    "### Steepest descent direction in the $\\ell_{\\infty}$ norm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "c4p0p53fNnTv"
   },
   "source": [
    "Replacing the $\\ell_2$ norm with the $\\ell_{\\infty}$ norm in our original constrained optimization problem we have a similar looking problem whose solution defines a new kind of steepest descent direction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "gaZ71Rp8NnTv"
   },
   "source": [
    "\\begin{equation}\n",
    "\\begin{array}{cc}\n",
    "\\underset{\\mathbf{d}}{\\text{minimize}} & \\nabla g(\\mathbf{v})^{T}\\mathbf{d}\\\\\n",
    "\\text{subject to} & \\left\\Vert \\mathbf{d}\\right\\Vert _{\\infty}=1\\\\\n",
    "\\end{array}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "v8_X3teLNnTv"
   },
   "source": [
    "Using the toy in the next Python cell we explore possible solutions to this problem in two dimensions for a particular choice of gradient vector, gaining valuable geometric intuition as to what the solution should be. Here once again we plot an example gradient vector $\\nabla g (\\mathbf{v})$ as a red arrow, along with the $\\ell_{\\infty}$ unit ball. Moving the slider from left to right you can test various directions $\\mathbf{d}$ (each shown as a black arrow) on this $\\ell_{\\infty}$ unit ball computing the inner product $\\nabla g(\\mathbf{v})^{T}\\mathbf{d}$, whose value is simultaneously plotted in the right panel. As you move the slider right once more the direction providing the *smallest* value is shown as a green arrow in the left panel, and is highlighted in green in the plot in the right panel.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 531
    },
    "id": "u52QX1reNnTw",
    "outputId": "31897c21-08f0-4394-ae7f-20fcc0dc1c9f"
   },
   "outputs": [],
   "source": [
    "# # create an animation showing the origin of the sine and cosine functions - uncomment to re-render animation\n",
    "# num_frames = 100\n",
    "# pt = [1.3,0.75]\n",
    "# section_3_13_helpers.Linf(pt,num_frames,savepath=video_path_2,fps=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 521
    },
    "id": "f-ue41oGN7g0",
    "outputId": "5cc9d2d8-5ca1-49c1-98b2-0885a3a534f8"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=1000 controls><source 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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show_video(video_path_2, width=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "11kGRWsrNnTw"
   },
   "source": [
    "Based on the example above you may now have a hunch about what $\\mathbf{d}$ should be. But let's make sure by examining a different gradient vector $\\nabla g (\\mathbf{v})$.   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JIK_ychZNnTw"
   },
   "source": [
    "Toying around with the slider above it looks as if *each* entry of the descent direction here is the negative unit length partial derivative along its respective coordinate. That is, the $j^{th}$ entry is given as\n",
    "\n",
    "$$d_j = \\frac{ \\frac{\\partial}{\\partial w_j}g(\\mathbf{v}) }{\\left| \\frac{\\partial}{\\partial w_j}g(\\mathbf{v}) \\right|} = \\text{sign}\\left(\\frac{\\partial}{\\partial w_j}g(\\mathbf{v})\\right)$$\n",
    "\n",
    "and hence the entire descent direction can be written simply as \n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{d} = -\\, \\text{sign}\\left(\\nabla g(\\mathbf{v}) \\right)\n",
    "\\end{equation}\n",
    "\n",
    "These directions tend to most often be constrainted to the corners of the unit square or - in higher dimensions - the unit hypercube (the exceptions being when one partial derivative is exactly equal to zero).\n",
    "\n",
    "This intuitied formula is in fact correct, and can be proven more rigorously as show in the Appendix Section of this post."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "u-gQLj0aNnTw"
   },
   "source": [
    "The steepest descent step at $\\mathbf{w}^{k-1}$ in this direction looks like\n",
    "\n",
    "\\begin{equation}\n",
    "\\mathbf{w}^{k} = \\mathbf{w}^{k-1} - \\alpha\\, \\text{sign}\\left(\\nabla g(\\mathbf{w}^{k-1}) \\right)\n",
    "\\end{equation}\n",
    "\n",
    "Due to the $\\text{sign} (\\cdot)$ function these steps tend to be at 'diagonal' traveling largely in directions defined by the corners of the unit square.  Because the set of directions is restricted one often sees the use of coordinate-wise steplength parameters with this method (e.g., [Rprop](https://en.wikipedia.org/wiki/Rprop)). "
   ]
  }
 ],
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